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Finding the Third Proportional to 65,799 and 93,777.75

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Solution

The third proportional to 65,799 and 93,777.75 is: 133,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,799 : 93,777.75 = 93,777.75 : x
  2. Step 2: Convert to fraction form
    65,799/93,777.75 = 93,777.75/x
  3. Step 3: Cross multiply
    65,799x = 93,777.75 × 93,777.75
  4. Step 4: Simplify right side
    65,799x = 8,794,266,395.06
  5. Step 5: Solve for x
    x = 8,794,266,395.06/65,799
  6. Step 6: Final answer
    x = 133,653.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.