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Finding the Third Proportional to 60,417 and 117,121.50

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Solution

The third proportional to 60,417 and 117,121.50 is: 227,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,417 : 117,121.50 = 117,121.50 : x
  2. Step 2: Convert to fraction form
    60,417/117,121.50 = 117,121.50/x
  3. Step 3: Cross multiply
    60,417x = 117,121.50 × 117,121.50
  4. Step 4: Simplify right side
    60,417x = 13,717,445,762.25
  5. Step 5: Solve for x
    x = 13,717,445,762.25/60,417
  6. Step 6: Final answer
    x = 227,046.13

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.