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Finding the Third Proportional to 75,584 and 164,776

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Solution

The third proportional to 75,584 and 164,776 is: 359,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,584 : 164,776 = 164,776 : x
  2. Step 2: Convert to fraction form
    75,584/164,776 = 164,776/x
  3. Step 3: Cross multiply
    75,584x = 164,776 × 164,776
  4. Step 4: Simplify right side
    75,584x = 27,151,130,176
  5. Step 5: Solve for x
    x = 27,151,130,176/75,584
  6. Step 6: Final answer
    x = 359,217.96

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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.