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Finding the Third Proportional to 72,457.88 and 113,106.38

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Solution

The third proportional to 72,457.88 and 113,106.38 is: 176,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,457.88 : 113,106.38 = 113,106.38 : x
  2. Step 2: Convert to fraction form
    72,457.88/113,106.38 = 113,106.38/x
  3. Step 3: Cross multiply
    72,457.88x = 113,106.38 × 113,106.38
  4. Step 4: Simplify right side
    72,457.88x = 12,793,052,065.64
  5. Step 5: Solve for x
    x = 12,793,052,065.64/72,457.88
  6. Step 6: Final answer
    x = 176,558.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.