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Finding the Third Proportional to 64,160 and 137,032

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Solution

The third proportional to 64,160 and 137,032 is: 292,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,160 : 137,032 = 137,032 : x
  2. Step 2: Convert to fraction form
    64,160/137,032 = 137,032/x
  3. Step 3: Cross multiply
    64,160x = 137,032 × 137,032
  4. Step 4: Simplify right side
    64,160x = 18,777,769,024
  5. Step 5: Solve for x
    x = 18,777,769,024/64,160
  6. Step 6: Final answer
    x = 292,670.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.