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Finding the Third Proportional to 106,386 and 157,525

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Solution

The third proportional to 106,386 and 157,525 is: 233,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386 : 157,525 = 157,525 : x
  2. Step 2: Convert to fraction form
    106,386/157,525 = 157,525/x
  3. Step 3: Cross multiply
    106,386x = 157,525 × 157,525
  4. Step 4: Simplify right side
    106,386x = 24,814,125,625
  5. Step 5: Solve for x
    x = 24,814,125,625/106,386
  6. Step 6: Final answer
    x = 233,246.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.