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Finding the Third Proportional to 60,429 and 130,577

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Solution

The third proportional to 60,429 and 130,577 is: 282,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,429 : 130,577 = 130,577 : x
  2. Step 2: Convert to fraction form
    60,429/130,577 = 130,577/x
  3. Step 3: Cross multiply
    60,429x = 130,577 × 130,577
  4. Step 4: Simplify right side
    60,429x = 17,050,352,929
  5. Step 5: Solve for x
    x = 17,050,352,929/60,429
  6. Step 6: Final answer
    x = 282,155.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.