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Finding the Third Proportional to 65,983 and 99,539

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Solution

The third proportional to 65,983 and 99,539 is: 150,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,983 : 99,539 = 99,539 : x
  2. Step 2: Convert to fraction form
    65,983/99,539 = 99,539/x
  3. Step 3: Cross multiply
    65,983x = 99,539 × 99,539
  4. Step 4: Simplify right side
    65,983x = 9,908,012,521
  5. Step 5: Solve for x
    x = 9,908,012,521/65,983
  6. Step 6: Final answer
    x = 150,160.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.