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Finding the Third Proportional to 74,516 and 112,737

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Solution

The third proportional to 74,516 and 112,737 is: 170,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,516 : 112,737 = 112,737 : x
  2. Step 2: Convert to fraction form
    74,516/112,737 = 112,737/x
  3. Step 3: Cross multiply
    74,516x = 112,737 × 112,737
  4. Step 4: Simplify right side
    74,516x = 12,709,631,169
  5. Step 5: Solve for x
    x = 12,709,631,169/74,516
  6. Step 6: Final answer
    x = 170,562.45

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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.