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Finding the Third Proportional to 91,588 and 144,758

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Solution

The third proportional to 91,588 and 144,758 is: 228,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,588 : 144,758 = 144,758 : x
  2. Step 2: Convert to fraction form
    91,588/144,758 = 144,758/x
  3. Step 3: Cross multiply
    91,588x = 144,758 × 144,758
  4. Step 4: Simplify right side
    91,588x = 20,954,878,564
  5. Step 5: Solve for x
    x = 20,954,878,564/91,588
  6. Step 6: Final answer
    x = 228,795.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.