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Finding the Third Proportional to 45,402 and 75,034

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Solution

The third proportional to 45,402 and 75,034 is: 124,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402 : 75,034 = 75,034 : x
  2. Step 2: Convert to fraction form
    45,402/75,034 = 75,034/x
  3. Step 3: Cross multiply
    45,402x = 75,034 × 75,034
  4. Step 4: Simplify right side
    45,402x = 5,630,101,156
  5. Step 5: Solve for x
    x = 5,630,101,156/45,402
  6. Step 6: Final answer
    x = 124,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.