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Finding the Third Proportional to 93,595.50 and 140,347.50

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Solution

The third proportional to 93,595.50 and 140,347.50 is: 210,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,595.50 : 140,347.50 = 140,347.50 : x
  2. Step 2: Convert to fraction form
    93,595.50/140,347.50 = 140,347.50/x
  3. Step 3: Cross multiply
    93,595.50x = 140,347.50 × 140,347.50
  4. Step 4: Simplify right side
    93,595.50x = 19,697,420,756.25
  5. Step 5: Solve for x
    x = 19,697,420,756.25/93,595.50
  6. Step 6: Final answer
    x = 210,452.65

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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.