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Finding the Third Proportional to 65,262 and 98,076

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Solution

The third proportional to 65,262 and 98,076 is: 147,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 98,076 = 98,076 : x
  2. Step 2: Convert to fraction form
    65,262/98,076 = 98,076/x
  3. Step 3: Cross multiply
    65,262x = 98,076 × 98,076
  4. Step 4: Simplify right side
    65,262x = 9,618,901,776
  5. Step 5: Solve for x
    x = 9,618,901,776/65,262
  6. Step 6: Final answer
    x = 147,389.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.