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Finding the Third Proportional to 62,358 and 136,363.50

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Solution

The third proportional to 62,358 and 136,363.50 is: 298,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,358 : 136,363.50 = 136,363.50 : x
  2. Step 2: Convert to fraction form
    62,358/136,363.50 = 136,363.50/x
  3. Step 3: Cross multiply
    62,358x = 136,363.50 × 136,363.50
  4. Step 4: Simplify right side
    62,358x = 18,595,004,132.25
  5. Step 5: Solve for x
    x = 18,595,004,132.25/62,358
  6. Step 6: Final answer
    x = 298,197.57

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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.