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Finding the Third Proportional to 62,688 and 90,576

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Solution

The third proportional to 62,688 and 90,576 is: 130,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,688 : 90,576 = 90,576 : x
  2. Step 2: Convert to fraction form
    62,688/90,576 = 90,576/x
  3. Step 3: Cross multiply
    62,688x = 90,576 × 90,576
  4. Step 4: Simplify right side
    62,688x = 8,204,011,776
  5. Step 5: Solve for x
    x = 8,204,011,776/62,688
  6. Step 6: Final answer
    x = 130,870.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.