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Finding the Third Proportional to 125,848.69 and 245,318.63

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Solution

The third proportional to 125,848.69 and 245,318.63 is: 478,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,848.69 : 245,318.63 = 245,318.63 : x
  2. Step 2: Convert to fraction form
    125,848.69/245,318.63 = 245,318.63/x
  3. Step 3: Cross multiply
    125,848.69x = 245,318.63 × 245,318.63
  4. Step 4: Simplify right side
    125,848.69x = 60,181,227,771.89
  5. Step 5: Solve for x
    x = 60,181,227,771.89/125,848.69
  6. Step 6: Final answer
    x = 478,203.06

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.