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Finding the Third Proportional to 97,368 and 150,348

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Solution

The third proportional to 97,368 and 150,348 is: 232,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,368 : 150,348 = 150,348 : x
  2. Step 2: Convert to fraction form
    97,368/150,348 = 150,348/x
  3. Step 3: Cross multiply
    97,368x = 150,348 × 150,348
  4. Step 4: Simplify right side
    97,368x = 22,604,521,104
  5. Step 5: Solve for x
    x = 22,604,521,104/97,368
  6. Step 6: Final answer
    x = 232,155.54

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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.