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Finding the Third Proportional to 75,389 and 158,527

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Solution

The third proportional to 75,389 and 158,527 is: 333,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,389 : 158,527 = 158,527 : x
  2. Step 2: Convert to fraction form
    75,389/158,527 = 158,527/x
  3. Step 3: Cross multiply
    75,389x = 158,527 × 158,527
  4. Step 4: Simplify right side
    75,389x = 25,130,809,729
  5. Step 5: Solve for x
    x = 25,130,809,729/75,389
  6. Step 6: Final answer
    x = 333,348.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.