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Finding the Third Proportional to 89,307 and 124,864.50

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Solution

The third proportional to 89,307 and 124,864.50 is: 174,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307 : 124,864.50 = 124,864.50 : x
  2. Step 2: Convert to fraction form
    89,307/124,864.50 = 124,864.50/x
  3. Step 3: Cross multiply
    89,307x = 124,864.50 × 124,864.50
  4. Step 4: Simplify right side
    89,307x = 15,591,143,360.25
  5. Step 5: Solve for x
    x = 15,591,143,360.25/89,307
  6. Step 6: Final answer
    x = 174,579.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.