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Finding the Third Proportional to 63,114.25 and 136,070

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Solution

The third proportional to 63,114.25 and 136,070 is: 293,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,114.25 : 136,070 = 136,070 : x
  2. Step 2: Convert to fraction form
    63,114.25/136,070 = 136,070/x
  3. Step 3: Cross multiply
    63,114.25x = 136,070 × 136,070
  4. Step 4: Simplify right side
    63,114.25x = 18,515,044,900
  5. Step 5: Solve for x
    x = 18,515,044,900/63,114.25
  6. Step 6: Final answer
    x = 293,357.60

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Why These Related Problems?

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