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Finding the Third Proportional to 72,776 and 158,368

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Solution

The third proportional to 72,776 and 158,368 is: 344,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776 : 158,368 = 158,368 : x
  2. Step 2: Convert to fraction form
    72,776/158,368 = 158,368/x
  3. Step 3: Cross multiply
    72,776x = 158,368 × 158,368
  4. Step 4: Simplify right side
    72,776x = 25,080,423,424
  5. Step 5: Solve for x
    x = 25,080,423,424/72,776
  6. Step 6: Final answer
    x = 344,624.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.