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Finding the Third Proportional to 45,748 and 68,732

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Solution

The third proportional to 45,748 and 68,732 is: 103,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,748 : 68,732 = 68,732 : x
  2. Step 2: Convert to fraction form
    45,748/68,732 = 68,732/x
  3. Step 3: Cross multiply
    45,748x = 68,732 × 68,732
  4. Step 4: Simplify right side
    45,748x = 4,724,087,824
  5. Step 5: Solve for x
    x = 4,724,087,824/45,748
  6. Step 6: Final answer
    x = 103,263.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.