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Finding the Third Proportional to 88,080 and 184,776

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Solution

The third proportional to 88,080 and 184,776 is: 387,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,080 : 184,776 = 184,776 : x
  2. Step 2: Convert to fraction form
    88,080/184,776 = 184,776/x
  3. Step 3: Cross multiply
    88,080x = 184,776 × 184,776
  4. Step 4: Simplify right side
    88,080x = 34,142,170,176
  5. Step 5: Solve for x
    x = 34,142,170,176/88,080
  6. Step 6: Final answer
    x = 387,626.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.