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Finding the Third Proportional to 65,595.75 and 121,335

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Solution

The third proportional to 65,595.75 and 121,335 is: 224,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,595.75 : 121,335 = 121,335 : x
  2. Step 2: Convert to fraction form
    65,595.75/121,335 = 121,335/x
  3. Step 3: Cross multiply
    65,595.75x = 121,335 × 121,335
  4. Step 4: Simplify right side
    65,595.75x = 14,722,182,225
  5. Step 5: Solve for x
    x = 14,722,182,225/65,595.75
  6. Step 6: Final answer
    x = 224,438.05

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.