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Finding the Third Proportional to 92,988 and 139,122.56

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Solution

The third proportional to 92,988 and 139,122.56 is: 208,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,988 : 139,122.56 = 139,122.56 : x
  2. Step 2: Convert to fraction form
    92,988/139,122.56 = 139,122.56/x
  3. Step 3: Cross multiply
    92,988x = 139,122.56 × 139,122.56
  4. Step 4: Simplify right side
    92,988x = 19,355,087,396.57
  5. Step 5: Solve for x
    x = 19,355,087,396.57/92,988
  6. Step 6: Final answer
    x = 208,146.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.