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Finding the Third Proportional to 61,047.84 and 132,283.13

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Solution

The third proportional to 61,047.84 and 132,283.13 is: 286,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,047.84 : 132,283.13 = 132,283.13 : x
  2. Step 2: Convert to fraction form
    61,047.84/132,283.13 = 132,283.13/x
  3. Step 3: Cross multiply
    61,047.84x = 132,283.13 × 132,283.13
  4. Step 4: Simplify right side
    61,047.84x = 17,498,825,159.77
  5. Step 5: Solve for x
    x = 17,498,825,159.77/61,047.84
  6. Step 6: Final answer
    x = 286,641.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.