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Finding the Third Proportional to 88,869.50 and 144,382

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Solution

The third proportional to 88,869.50 and 144,382 is: 234,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,869.50 : 144,382 = 144,382 : x
  2. Step 2: Convert to fraction form
    88,869.50/144,382 = 144,382/x
  3. Step 3: Cross multiply
    88,869.50x = 144,382 × 144,382
  4. Step 4: Simplify right side
    88,869.50x = 20,846,161,924
  5. Step 5: Solve for x
    x = 20,846,161,924/88,869.50
  6. Step 6: Final answer
    x = 234,570.49

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.