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Finding the Third Proportional to 78,357 and 117,534.75

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Solution

The third proportional to 78,357 and 117,534.75 is: 176,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357 : 117,534.75 = 117,534.75 : x
  2. Step 2: Convert to fraction form
    78,357/117,534.75 = 117,534.75/x
  3. Step 3: Cross multiply
    78,357x = 117,534.75 × 117,534.75
  4. Step 4: Simplify right side
    78,357x = 13,814,417,457.56
  5. Step 5: Solve for x
    x = 13,814,417,457.56/78,357
  6. Step 6: Final answer
    x = 176,301.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.