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Finding the Third Proportional to 105,915 and 157,048

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Solution

The third proportional to 105,915 and 157,048 is: 232,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,915 : 157,048 = 157,048 : x
  2. Step 2: Convert to fraction form
    105,915/157,048 = 157,048/x
  3. Step 3: Cross multiply
    105,915x = 157,048 × 157,048
  4. Step 4: Simplify right side
    105,915x = 24,664,074,304
  5. Step 5: Solve for x
    x = 24,664,074,304/105,915
  6. Step 6: Final answer
    x = 232,866.68

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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.