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Finding the Third Proportional to 53,402 and 75,119

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Solution

The third proportional to 53,402 and 75,119 is: 105,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,402 : 75,119 = 75,119 : x
  2. Step 2: Convert to fraction form
    53,402/75,119 = 75,119/x
  3. Step 3: Cross multiply
    53,402x = 75,119 × 75,119
  4. Step 4: Simplify right side
    53,402x = 5,642,864,161
  5. Step 5: Solve for x
    x = 5,642,864,161/53,402
  6. Step 6: Final answer
    x = 105,667.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.