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Finding the Third Proportional to 98,727 and 141,082

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Solution

The third proportional to 98,727 and 141,082 is: 201,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,727 : 141,082 = 141,082 : x
  2. Step 2: Convert to fraction form
    98,727/141,082 = 141,082/x
  3. Step 3: Cross multiply
    98,727x = 141,082 × 141,082
  4. Step 4: Simplify right side
    98,727x = 19,904,130,724
  5. Step 5: Solve for x
    x = 19,904,130,724/98,727
  6. Step 6: Final answer
    x = 201,607.77

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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.