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Finding the Third Proportional to 107,288 and 157,646

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Solution

The third proportional to 107,288 and 157,646 is: 231,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,288 : 157,646 = 157,646 : x
  2. Step 2: Convert to fraction form
    107,288/157,646 = 157,646/x
  3. Step 3: Cross multiply
    107,288x = 157,646 × 157,646
  4. Step 4: Simplify right side
    107,288x = 24,852,261,316
  5. Step 5: Solve for x
    x = 24,852,261,316/107,288
  6. Step 6: Final answer
    x = 231,640.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.