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Finding the Third Proportional to 68,641 and 148,385.50

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Solution

The third proportional to 68,641 and 148,385.50 is: 320,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,641 : 148,385.50 = 148,385.50 : x
  2. Step 2: Convert to fraction form
    68,641/148,385.50 = 148,385.50/x
  3. Step 3: Cross multiply
    68,641x = 148,385.50 × 148,385.50
  4. Step 4: Simplify right side
    68,641x = 22,018,256,610.25
  5. Step 5: Solve for x
    x = 22,018,256,610.25/68,641
  6. Step 6: Final answer
    x = 320,774.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.