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Finding the Third Proportional to 98,707 and 140,677.50

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Solution

The third proportional to 98,707 and 140,677.50 is: 200,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,707 : 140,677.50 = 140,677.50 : x
  2. Step 2: Convert to fraction form
    98,707/140,677.50 = 140,677.50/x
  3. Step 3: Cross multiply
    98,707x = 140,677.50 × 140,677.50
  4. Step 4: Simplify right side
    98,707x = 19,790,159,006.25
  5. Step 5: Solve for x
    x = 19,790,159,006.25/98,707
  6. Step 6: Final answer
    x = 200,493.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.