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Finding the Third Proportional to 72,127 and 153,632

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Solution

The third proportional to 72,127 and 153,632 is: 327,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,127 : 153,632 = 153,632 : x
  2. Step 2: Convert to fraction form
    72,127/153,632 = 153,632/x
  3. Step 3: Cross multiply
    72,127x = 153,632 × 153,632
  4. Step 4: Simplify right side
    72,127x = 23,602,791,424
  5. Step 5: Solve for x
    x = 23,602,791,424/72,127
  6. Step 6: Final answer
    x = 327,239.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.