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Finding the Third Proportional to 85,979.63 and 114,670.13

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Solution

The third proportional to 85,979.63 and 114,670.13 is: 152,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,979.63 : 114,670.13 = 114,670.13 : x
  2. Step 2: Convert to fraction form
    85,979.63/114,670.13 = 114,670.13/x
  3. Step 3: Cross multiply
    85,979.63x = 114,670.13 × 114,670.13
  4. Step 4: Simplify right side
    85,979.63x = 13,149,237,567.52
  5. Step 5: Solve for x
    x = 13,149,237,567.52/85,979.63
  6. Step 6: Final answer
    x = 152,934.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.