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Finding the Third Proportional to 61,151.63 and 129,654

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Solution

The third proportional to 61,151.63 and 129,654 is: 274,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,151.63 : 129,654 = 129,654 : x
  2. Step 2: Convert to fraction form
    61,151.63/129,654 = 129,654/x
  3. Step 3: Cross multiply
    61,151.63x = 129,654 × 129,654
  4. Step 4: Simplify right side
    61,151.63x = 16,810,159,716
  5. Step 5: Solve for x
    x = 16,810,159,716/61,151.63
  6. Step 6: Final answer
    x = 274,893.10

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