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Finding the Third Proportional to 40,094 and 87,709

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Solution

The third proportional to 40,094 and 87,709 is: 191,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,094 : 87,709 = 87,709 : x
  2. Step 2: Convert to fraction form
    40,094/87,709 = 87,709/x
  3. Step 3: Cross multiply
    40,094x = 87,709 × 87,709
  4. Step 4: Simplify right side
    40,094x = 7,692,868,681
  5. Step 5: Solve for x
    x = 7,692,868,681/40,094
  6. Step 6: Final answer
    x = 191,870.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.