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Finding the Third Proportional to 93,823.88 and 141,549.75

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Solution

The third proportional to 93,823.88 and 141,549.75 is: 213,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,823.88 : 141,549.75 = 141,549.75 : x
  2. Step 2: Convert to fraction form
    93,823.88/141,549.75 = 141,549.75/x
  3. Step 3: Cross multiply
    93,823.88x = 141,549.75 × 141,549.75
  4. Step 4: Simplify right side
    93,823.88x = 20,036,331,725.06
  5. Step 5: Solve for x
    x = 20,036,331,725.06/93,823.88
  6. Step 6: Final answer
    x = 213,552.59

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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.