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Finding the Third Proportional to 124,371 and 292,363.50

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Solution

The third proportional to 124,371 and 292,363.50 is: 687,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,371 : 292,363.50 = 292,363.50 : x
  2. Step 2: Convert to fraction form
    124,371/292,363.50 = 292,363.50/x
  3. Step 3: Cross multiply
    124,371x = 292,363.50 × 292,363.50
  4. Step 4: Simplify right side
    124,371x = 85,476,416,132.25
  5. Step 5: Solve for x
    x = 85,476,416,132.25/124,371
  6. Step 6: Final answer
    x = 687,269.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.