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Finding the Third Proportional to 61,428 and 98,298

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Solution

The third proportional to 61,428 and 98,298 is: 157,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428 : 98,298 = 98,298 : x
  2. Step 2: Convert to fraction form
    61,428/98,298 = 98,298/x
  3. Step 3: Cross multiply
    61,428x = 98,298 × 98,298
  4. Step 4: Simplify right side
    61,428x = 9,662,496,804
  5. Step 5: Solve for x
    x = 9,662,496,804/61,428
  6. Step 6: Final answer
    x = 157,297.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.