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Finding the Third Proportional to 63,140 and 136,118

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Solution

The third proportional to 63,140 and 136,118 is: 293,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,140 : 136,118 = 136,118 : x
  2. Step 2: Convert to fraction form
    63,140/136,118 = 136,118/x
  3. Step 3: Cross multiply
    63,140x = 136,118 × 136,118
  4. Step 4: Simplify right side
    63,140x = 18,528,109,924
  5. Step 5: Solve for x
    x = 18,528,109,924/63,140
  6. Step 6: Final answer
    x = 293,444.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.