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Finding the Third Proportional to 129,123 and 279,688.50

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Solution

The third proportional to 129,123 and 279,688.50 is: 605,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,123 : 279,688.50 = 279,688.50 : x
  2. Step 2: Convert to fraction form
    129,123/279,688.50 = 279,688.50/x
  3. Step 3: Cross multiply
    129,123x = 279,688.50 × 279,688.50
  4. Step 4: Simplify right side
    129,123x = 78,225,657,032.25
  5. Step 5: Solve for x
    x = 78,225,657,032.25/129,123
  6. Step 6: Final answer
    x = 605,822.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.