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Finding the Third Proportional to 60,577 and 141,497.50

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Solution

The third proportional to 60,577 and 141,497.50 is: 330,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,577 : 141,497.50 = 141,497.50 : x
  2. Step 2: Convert to fraction form
    60,577/141,497.50 = 141,497.50/x
  3. Step 3: Cross multiply
    60,577x = 141,497.50 × 141,497.50
  4. Step 4: Simplify right side
    60,577x = 20,021,542,506.25
  5. Step 5: Solve for x
    x = 20,021,542,506.25/60,577
  6. Step 6: Final answer
    x = 330,513.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.