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Finding the Third Proportional to 75,585 and 164,985

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Solution

The third proportional to 75,585 and 164,985 is: 360,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,585 : 164,985 = 164,985 : x
  2. Step 2: Convert to fraction form
    75,585/164,985 = 164,985/x
  3. Step 3: Cross multiply
    75,585x = 164,985 × 164,985
  4. Step 4: Simplify right side
    75,585x = 27,220,050,225
  5. Step 5: Solve for x
    x = 27,220,050,225/75,585
  6. Step 6: Final answer
    x = 360,125.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.