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Finding the Third Proportional to 61,534 and 134,460

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Solution

The third proportional to 61,534 and 134,460 is: 293,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,534 : 134,460 = 134,460 : x
  2. Step 2: Convert to fraction form
    61,534/134,460 = 134,460/x
  3. Step 3: Cross multiply
    61,534x = 134,460 × 134,460
  4. Step 4: Simplify right side
    61,534x = 18,079,491,600
  5. Step 5: Solve for x
    x = 18,079,491,600/61,534
  6. Step 6: Final answer
    x = 293,813.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.