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Finding the Third Proportional to 84,304.13 and 127,013.06

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Solution

The third proportional to 84,304.13 and 127,013.06 is: 191,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,304.13 : 127,013.06 = 127,013.06 : x
  2. Step 2: Convert to fraction form
    84,304.13/127,013.06 = 127,013.06/x
  3. Step 3: Cross multiply
    84,304.13x = 127,013.06 × 127,013.06
  4. Step 4: Simplify right side
    84,304.13x = 16,132,318,045.63
  5. Step 5: Solve for x
    x = 16,132,318,045.63/84,304.13
  6. Step 6: Final answer
    x = 191,358.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.