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Finding the Third Proportional to 63,141 and 98,514

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Solution

The third proportional to 63,141 and 98,514 is: 153,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,141 : 98,514 = 98,514 : x
  2. Step 2: Convert to fraction form
    63,141/98,514 = 98,514/x
  3. Step 3: Cross multiply
    63,141x = 98,514 × 98,514
  4. Step 4: Simplify right side
    63,141x = 9,705,008,196
  5. Step 5: Solve for x
    x = 9,705,008,196/63,141
  6. Step 6: Final answer
    x = 153,703.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.