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Finding the Third Proportional to 74,776 and 161,292.50

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Solution

The third proportional to 74,776 and 161,292.50 is: 347,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,776 : 161,292.50 = 161,292.50 : x
  2. Step 2: Convert to fraction form
    74,776/161,292.50 = 161,292.50/x
  3. Step 3: Cross multiply
    74,776x = 161,292.50 × 161,292.50
  4. Step 4: Simplify right side
    74,776x = 26,015,270,556.25
  5. Step 5: Solve for x
    x = 26,015,270,556.25/74,776
  6. Step 6: Final answer
    x = 347,909.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.