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Finding the Third Proportional to 97,066.50 and 148,614

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Solution

The third proportional to 97,066.50 and 148,614 is: 227,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,066.50 : 148,614 = 148,614 : x
  2. Step 2: Convert to fraction form
    97,066.50/148,614 = 148,614/x
  3. Step 3: Cross multiply
    97,066.50x = 148,614 × 148,614
  4. Step 4: Simplify right side
    97,066.50x = 22,086,120,996
  5. Step 5: Solve for x
    x = 22,086,120,996/97,066.50
  6. Step 6: Final answer
    x = 227,535.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.