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Finding the Third Proportional to 60,043.50 and 129,365

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Solution

The third proportional to 60,043.50 and 129,365 is: 278,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,043.50 : 129,365 = 129,365 : x
  2. Step 2: Convert to fraction form
    60,043.50/129,365 = 129,365/x
  3. Step 3: Cross multiply
    60,043.50x = 129,365 × 129,365
  4. Step 4: Simplify right side
    60,043.50x = 16,735,303,225
  5. Step 5: Solve for x
    x = 16,735,303,225/60,043.50
  6. Step 6: Final answer
    x = 278,719.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.