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Finding the Third Proportional to 119,871 and 251,221.50

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Solution

The third proportional to 119,871 and 251,221.50 is: 526,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,871 : 251,221.50 = 251,221.50 : x
  2. Step 2: Convert to fraction form
    119,871/251,221.50 = 251,221.50/x
  3. Step 3: Cross multiply
    119,871x = 251,221.50 × 251,221.50
  4. Step 4: Simplify right side
    119,871x = 63,112,242,062.25
  5. Step 5: Solve for x
    x = 63,112,242,062.25/119,871
  6. Step 6: Final answer
    x = 526,501.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.