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Finding the Third Proportional to 62,757 and 97,846.50

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Solution

The third proportional to 62,757 and 97,846.50 is: 152,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,757 : 97,846.50 = 97,846.50 : x
  2. Step 2: Convert to fraction form
    62,757/97,846.50 = 97,846.50/x
  3. Step 3: Cross multiply
    62,757x = 97,846.50 × 97,846.50
  4. Step 4: Simplify right side
    62,757x = 9,573,937,562.25
  5. Step 5: Solve for x
    x = 9,573,937,562.25/62,757
  6. Step 6: Final answer
    x = 152,555.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.