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Finding the Third Proportional to 54,312 and 83,576

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Solution

The third proportional to 54,312 and 83,576 is: 128,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312 : 83,576 = 83,576 : x
  2. Step 2: Convert to fraction form
    54,312/83,576 = 83,576/x
  3. Step 3: Cross multiply
    54,312x = 83,576 × 83,576
  4. Step 4: Simplify right side
    54,312x = 6,984,947,776
  5. Step 5: Solve for x
    x = 6,984,947,776/54,312
  6. Step 6: Final answer
    x = 128,607.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.