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Finding the Third Proportional to 73,416.38 and 113,045.63

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Solution

The third proportional to 73,416.38 and 113,045.63 is: 174,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,416.38 : 113,045.63 = 113,045.63 : x
  2. Step 2: Convert to fraction form
    73,416.38/113,045.63 = 113,045.63/x
  3. Step 3: Cross multiply
    73,416.38x = 113,045.63 × 113,045.63
  4. Step 4: Simplify right side
    73,416.38x = 12,779,313,331.64
  5. Step 5: Solve for x
    x = 12,779,313,331.64/73,416.38
  6. Step 6: Final answer
    x = 174,066.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.