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Finding the Third Proportional to 74,769 and 109,966.50

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Solution

The third proportional to 74,769 and 109,966.50 is: 161,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,769 : 109,966.50 = 109,966.50 : x
  2. Step 2: Convert to fraction form
    74,769/109,966.50 = 109,966.50/x
  3. Step 3: Cross multiply
    74,769x = 109,966.50 × 109,966.50
  4. Step 4: Simplify right side
    74,769x = 12,092,631,122.25
  5. Step 5: Solve for x
    x = 12,092,631,122.25/74,769
  6. Step 6: Final answer
    x = 161,733.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.