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Finding the Third Proportional to 61,570 and 93,596

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Solution

The third proportional to 61,570 and 93,596 is: 142,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,570 : 93,596 = 93,596 : x
  2. Step 2: Convert to fraction form
    61,570/93,596 = 93,596/x
  3. Step 3: Cross multiply
    61,570x = 93,596 × 93,596
  4. Step 4: Simplify right side
    61,570x = 8,760,211,216
  5. Step 5: Solve for x
    x = 8,760,211,216/61,570
  6. Step 6: Final answer
    x = 142,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.