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Finding the Third Proportional to 46,712 and 72,376

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Solution

The third proportional to 46,712 and 72,376 is: 112,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 72,376 = 72,376 : x
  2. Step 2: Convert to fraction form
    46,712/72,376 = 72,376/x
  3. Step 3: Cross multiply
    46,712x = 72,376 × 72,376
  4. Step 4: Simplify right side
    46,712x = 5,238,285,376
  5. Step 5: Solve for x
    x = 5,238,285,376/46,712
  6. Step 6: Final answer
    x = 112,140.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.