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Finding the Third Proportional to 101,253 and 155,848.50

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Solution

The third proportional to 101,253 and 155,848.50 is: 239,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,253 : 155,848.50 = 155,848.50 : x
  2. Step 2: Convert to fraction form
    101,253/155,848.50 = 155,848.50/x
  3. Step 3: Cross multiply
    101,253x = 155,848.50 × 155,848.50
  4. Step 4: Simplify right side
    101,253x = 24,288,754,952.25
  5. Step 5: Solve for x
    x = 24,288,754,952.25/101,253
  6. Step 6: Final answer
    x = 239,881.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.