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Finding the Third Proportional to 78,139.13 and 116,693.25

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Solution

The third proportional to 78,139.13 and 116,693.25 is: 174,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,139.13 : 116,693.25 = 116,693.25 : x
  2. Step 2: Convert to fraction form
    78,139.13/116,693.25 = 116,693.25/x
  3. Step 3: Cross multiply
    78,139.13x = 116,693.25 × 116,693.25
  4. Step 4: Simplify right side
    78,139.13x = 13,617,314,595.56
  5. Step 5: Solve for x
    x = 13,617,314,595.56/78,139.13
  6. Step 6: Final answer
    x = 174,270.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.