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Finding the Third Proportional to 72,234.75 and 112,287

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Solution

The third proportional to 72,234.75 and 112,287 is: 174,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234.75 : 112,287 = 112,287 : x
  2. Step 2: Convert to fraction form
    72,234.75/112,287 = 112,287/x
  3. Step 3: Cross multiply
    72,234.75x = 112,287 × 112,287
  4. Step 4: Simplify right side
    72,234.75x = 12,608,370,369
  5. Step 5: Solve for x
    x = 12,608,370,369/72,234.75
  6. Step 6: Final answer
    x = 174,547.16

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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.