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Finding the Third Proportional to 124,720 and 265,008

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Solution

The third proportional to 124,720 and 265,008 is: 563,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,720 : 265,008 = 265,008 : x
  2. Step 2: Convert to fraction form
    124,720/265,008 = 265,008/x
  3. Step 3: Cross multiply
    124,720x = 265,008 × 265,008
  4. Step 4: Simplify right side
    124,720x = 70,229,240,064
  5. Step 5: Solve for x
    x = 70,229,240,064/124,720
  6. Step 6: Final answer
    x = 563,095.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.