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Finding the Third Proportional to 66,462.75 and 99,259.50

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Solution

The third proportional to 66,462.75 and 99,259.50 is: 148,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,462.75 : 99,259.50 = 99,259.50 : x
  2. Step 2: Convert to fraction form
    66,462.75/99,259.50 = 99,259.50/x
  3. Step 3: Cross multiply
    66,462.75x = 99,259.50 × 99,259.50
  4. Step 4: Simplify right side
    66,462.75x = 9,852,448,340.25
  5. Step 5: Solve for x
    x = 9,852,448,340.25/66,462.75
  6. Step 6: Final answer
    x = 148,240.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.