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Finding the Third Proportional to 75,957 and 156,776

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Solution

The third proportional to 75,957 and 156,776 is: 323,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957 : 156,776 = 156,776 : x
  2. Step 2: Convert to fraction form
    75,957/156,776 = 156,776/x
  3. Step 3: Cross multiply
    75,957x = 156,776 × 156,776
  4. Step 4: Simplify right side
    75,957x = 24,578,714,176
  5. Step 5: Solve for x
    x = 24,578,714,176/75,957
  6. Step 6: Final answer
    x = 323,587.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.