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Finding the Third Proportional to 74,528 and 112,754

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Solution

The third proportional to 74,528 and 112,754 is: 170,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,528 : 112,754 = 112,754 : x
  2. Step 2: Convert to fraction form
    74,528/112,754 = 112,754/x
  3. Step 3: Cross multiply
    74,528x = 112,754 × 112,754
  4. Step 4: Simplify right side
    74,528x = 12,713,464,516
  5. Step 5: Solve for x
    x = 12,713,464,516/74,528
  6. Step 6: Final answer
    x = 170,586.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.