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Finding the Third Proportional to 65,994 and 99,309.75

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Solution

The third proportional to 65,994 and 99,309.75 is: 149,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,994 : 99,309.75 = 99,309.75 : x
  2. Step 2: Convert to fraction form
    65,994/99,309.75 = 99,309.75/x
  3. Step 3: Cross multiply
    65,994x = 99,309.75 × 99,309.75
  4. Step 4: Simplify right side
    65,994x = 9,862,426,445.06
  5. Step 5: Solve for x
    x = 9,862,426,445.06/65,994
  6. Step 6: Final answer
    x = 149,444.29

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Why These Related Problems?

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