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Finding the Third Proportional to 91,905 and 124,732

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Solution

The third proportional to 91,905 and 124,732 is: 169,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,905 : 124,732 = 124,732 : x
  2. Step 2: Convert to fraction form
    91,905/124,732 = 124,732/x
  3. Step 3: Cross multiply
    91,905x = 124,732 × 124,732
  4. Step 4: Simplify right side
    91,905x = 15,558,071,824
  5. Step 5: Solve for x
    x = 15,558,071,824/91,905
  6. Step 6: Final answer
    x = 169,284.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.