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Finding the Third Proportional to 66,282 and 98,136

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Solution

The third proportional to 66,282 and 98,136 is: 145,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,282 : 98,136 = 98,136 : x
  2. Step 2: Convert to fraction form
    66,282/98,136 = 98,136/x
  3. Step 3: Cross multiply
    66,282x = 98,136 × 98,136
  4. Step 4: Simplify right side
    66,282x = 9,630,674,496
  5. Step 5: Solve for x
    x = 9,630,674,496/66,282
  6. Step 6: Final answer
    x = 145,298.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.