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Finding the Third Proportional to 88,723 and 141,098.50

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Solution

The third proportional to 88,723 and 141,098.50 is: 224,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,723 : 141,098.50 = 141,098.50 : x
  2. Step 2: Convert to fraction form
    88,723/141,098.50 = 141,098.50/x
  3. Step 3: Cross multiply
    88,723x = 141,098.50 × 141,098.50
  4. Step 4: Simplify right side
    88,723x = 19,908,786,702.25
  5. Step 5: Solve for x
    x = 19,908,786,702.25/88,723
  6. Step 6: Final answer
    x = 224,392.62

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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.