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Finding the Third Proportional to 123,352 and 195,132

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Solution

The third proportional to 123,352 and 195,132 is: 308,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,352 : 195,132 = 195,132 : x
  2. Step 2: Convert to fraction form
    123,352/195,132 = 195,132/x
  3. Step 3: Cross multiply
    123,352x = 195,132 × 195,132
  4. Step 4: Simplify right side
    123,352x = 38,076,497,424
  5. Step 5: Solve for x
    x = 38,076,497,424/123,352
  6. Step 6: Final answer
    x = 308,681.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.