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Finding the Third Proportional to 124,604 and 265,518

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Solution

The third proportional to 124,604 and 265,518 is: 565,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,604 : 265,518 = 265,518 : x
  2. Step 2: Convert to fraction form
    124,604/265,518 = 265,518/x
  3. Step 3: Cross multiply
    124,604x = 265,518 × 265,518
  4. Step 4: Simplify right side
    124,604x = 70,499,808,324
  5. Step 5: Solve for x
    x = 70,499,808,324/124,604
  6. Step 6: Final answer
    x = 565,790.89

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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.