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Finding the Third Proportional to 59,534 and 130,972

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Solution

The third proportional to 59,534 and 130,972 is: 288,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,534 : 130,972 = 130,972 : x
  2. Step 2: Convert to fraction form
    59,534/130,972 = 130,972/x
  3. Step 3: Cross multiply
    59,534x = 130,972 × 130,972
  4. Step 4: Simplify right side
    59,534x = 17,153,664,784
  5. Step 5: Solve for x
    x = 17,153,664,784/59,534
  6. Step 6: Final answer
    x = 288,132.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.