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Finding the Third Proportional to 73,314 and 114,348

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Solution

The third proportional to 73,314 and 114,348 is: 178,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,314 : 114,348 = 114,348 : x
  2. Step 2: Convert to fraction form
    73,314/114,348 = 114,348/x
  3. Step 3: Cross multiply
    73,314x = 114,348 × 114,348
  4. Step 4: Simplify right side
    73,314x = 13,075,465,104
  5. Step 5: Solve for x
    x = 13,075,465,104/73,314
  6. Step 6: Final answer
    x = 178,348.82

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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.