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Finding the Third Proportional to 124,590.66 and 265,492.69

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Solution

The third proportional to 124,590.66 and 265,492.69 is: 565,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,590.66 : 265,492.69 = 265,492.69 : x
  2. Step 2: Convert to fraction form
    124,590.66/265,492.69 = 265,492.69/x
  3. Step 3: Cross multiply
    124,590.66x = 265,492.69 × 265,492.69
  4. Step 4: Simplify right side
    124,590.66x = 70,486,367,115.97
  5. Step 5: Solve for x
    x = 70,486,367,115.97/124,590.66
  6. Step 6: Final answer
    x = 565,743.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.