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Finding the Third Proportional to 115,695 and 174,776

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Solution

The third proportional to 115,695 and 174,776 is: 264,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,695 : 174,776 = 174,776 : x
  2. Step 2: Convert to fraction form
    115,695/174,776 = 174,776/x
  3. Step 3: Cross multiply
    115,695x = 174,776 × 174,776
  4. Step 4: Simplify right side
    115,695x = 30,546,650,176
  5. Step 5: Solve for x
    x = 30,546,650,176/115,695
  6. Step 6: Final answer
    x = 264,027.40

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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.