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Finding the Third Proportional to 65,336 and 97,748

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Solution

The third proportional to 65,336 and 97,748 is: 146,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,336 : 97,748 = 97,748 : x
  2. Step 2: Convert to fraction form
    65,336/97,748 = 97,748/x
  3. Step 3: Cross multiply
    65,336x = 97,748 × 97,748
  4. Step 4: Simplify right side
    65,336x = 9,554,671,504
  5. Step 5: Solve for x
    x = 9,554,671,504/65,336
  6. Step 6: Final answer
    x = 146,239.00

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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.