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Finding the Third Proportional to 98,730 and 140,710

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Solution

The third proportional to 98,730 and 140,710 is: 200,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,730 : 140,710 = 140,710 : x
  2. Step 2: Convert to fraction form
    98,730/140,710 = 140,710/x
  3. Step 3: Cross multiply
    98,730x = 140,710 × 140,710
  4. Step 4: Simplify right side
    98,730x = 19,799,304,100
  5. Step 5: Solve for x
    x = 19,799,304,100/98,730
  6. Step 6: Final answer
    x = 200,539.90

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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.