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Finding the Third Proportional to 42,626 and 88,726

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Solution

The third proportional to 42,626 and 88,726 is: 184,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,626 : 88,726 = 88,726 : x
  2. Step 2: Convert to fraction form
    42,626/88,726 = 88,726/x
  3. Step 3: Cross multiply
    42,626x = 88,726 × 88,726
  4. Step 4: Simplify right side
    42,626x = 7,872,303,076
  5. Step 5: Solve for x
    x = 7,872,303,076/42,626
  6. Step 6: Final answer
    x = 184,683.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.