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Finding the Third Proportional to 93,327.19 and 140,752.69

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Solution

The third proportional to 93,327.19 and 140,752.69 is: 212,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,327.19 : 140,752.69 = 140,752.69 : x
  2. Step 2: Convert to fraction form
    93,327.19/140,752.69 = 140,752.69/x
  3. Step 3: Cross multiply
    93,327.19x = 140,752.69 × 140,752.69
  4. Step 4: Simplify right side
    93,327.19x = 19,811,319,038.47
  5. Step 5: Solve for x
    x = 19,811,319,038.47/93,327.19
  6. Step 6: Final answer
    x = 212,278.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.