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Finding the Third Proportional to 86,490 and 126,387

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Solution

The third proportional to 86,490 and 126,387 is: 184,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 126,387 = 126,387 : x
  2. Step 2: Convert to fraction form
    86,490/126,387 = 126,387/x
  3. Step 3: Cross multiply
    86,490x = 126,387 × 126,387
  4. Step 4: Simplify right side
    86,490x = 15,973,673,769
  5. Step 5: Solve for x
    x = 15,973,673,769/86,490
  6. Step 6: Final answer
    x = 184,688.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.