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Finding the Third Proportional to 89,101.13 and 117,775.69

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Solution

The third proportional to 89,101.13 and 117,775.69 is: 155,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,101.13 : 117,775.69 = 117,775.69 : x
  2. Step 2: Convert to fraction form
    89,101.13/117,775.69 = 117,775.69/x
  3. Step 3: Cross multiply
    89,101.13x = 117,775.69 × 117,775.69
  4. Step 4: Simplify right side
    89,101.13x = 13,871,112,566.10
  5. Step 5: Solve for x
    x = 13,871,112,566.10/89,101.13
  6. Step 6: Final answer
    x = 155,678.31

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.