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Finding the Third Proportional to 65,807 and 144,730

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Solution

The third proportional to 65,807 and 144,730 is: 318,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807 : 144,730 = 144,730 : x
  2. Step 2: Convert to fraction form
    65,807/144,730 = 144,730/x
  3. Step 3: Cross multiply
    65,807x = 144,730 × 144,730
  4. Step 4: Simplify right side
    65,807x = 20,946,772,900
  5. Step 5: Solve for x
    x = 20,946,772,900/65,807
  6. Step 6: Final answer
    x = 318,306.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.