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Finding the Third Proportional to 106,388 and 157,528

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Solution

The third proportional to 106,388 and 157,528 is: 233,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388 : 157,528 = 157,528 : x
  2. Step 2: Convert to fraction form
    106,388/157,528 = 157,528/x
  3. Step 3: Cross multiply
    106,388x = 157,528 × 157,528
  4. Step 4: Simplify right side
    106,388x = 24,815,070,784
  5. Step 5: Solve for x
    x = 24,815,070,784/106,388
  6. Step 6: Final answer
    x = 233,250.66

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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.