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Finding the Third Proportional to 65,801.11 and 94,097.95

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Solution

The third proportional to 65,801.11 and 94,097.95 is: 134,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.11 : 94,097.95 = 94,097.95 : x
  2. Step 2: Convert to fraction form
    65,801.11/94,097.95 = 94,097.95/x
  3. Step 3: Cross multiply
    65,801.11x = 94,097.95 × 94,097.95
  4. Step 4: Simplify right side
    65,801.11x = 8,854,424,782.31
  5. Step 5: Solve for x
    x = 8,854,424,782.31/65,801.11
  6. Step 6: Final answer
    x = 134,563.46

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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.