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Finding the Third Proportional to 97,245 and 145,966.50

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Solution

The third proportional to 97,245 and 145,966.50 is: 219,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,245 : 145,966.50 = 145,966.50 : x
  2. Step 2: Convert to fraction form
    97,245/145,966.50 = 145,966.50/x
  3. Step 3: Cross multiply
    97,245x = 145,966.50 × 145,966.50
  4. Step 4: Simplify right side
    97,245x = 21,306,219,122.25
  5. Step 5: Solve for x
    x = 21,306,219,122.25/97,245
  6. Step 6: Final answer
    x = 219,098.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.