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Finding the Third Proportional to 88,702.50 and 141,114

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Solution

The third proportional to 88,702.50 and 141,114 is: 224,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,702.50 : 141,114 = 141,114 : x
  2. Step 2: Convert to fraction form
    88,702.50/141,114 = 141,114/x
  3. Step 3: Cross multiply
    88,702.50x = 141,114 × 141,114
  4. Step 4: Simplify right side
    88,702.50x = 19,913,160,996
  5. Step 5: Solve for x
    x = 19,913,160,996/88,702.50
  6. Step 6: Final answer
    x = 224,493.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.