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Finding the Third Proportional to 74,526 and 112,751

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Solution

The third proportional to 74,526 and 112,751 is: 170,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,526 : 112,751 = 112,751 : x
  2. Step 2: Convert to fraction form
    74,526/112,751 = 112,751/x
  3. Step 3: Cross multiply
    74,526x = 112,751 × 112,751
  4. Step 4: Simplify right side
    74,526x = 12,712,788,001
  5. Step 5: Solve for x
    x = 12,712,788,001/74,526
  6. Step 6: Final answer
    x = 170,581.92

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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.