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Finding the Third Proportional to 102,386 and 157,952

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Solution

The third proportional to 102,386 and 157,952 is: 243,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386 : 157,952 = 157,952 : x
  2. Step 2: Convert to fraction form
    102,386/157,952 = 157,952/x
  3. Step 3: Cross multiply
    102,386x = 157,952 × 157,952
  4. Step 4: Simplify right side
    102,386x = 24,948,834,304
  5. Step 5: Solve for x
    x = 24,948,834,304/102,386
  6. Step 6: Final answer
    x = 243,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.