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Finding the Third Proportional to 82,123.50 and 124,407

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Solution

The third proportional to 82,123.50 and 124,407 is: 188,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.50 : 124,407 = 124,407 : x
  2. Step 2: Convert to fraction form
    82,123.50/124,407 = 124,407/x
  3. Step 3: Cross multiply
    82,123.50x = 124,407 × 124,407
  4. Step 4: Simplify right side
    82,123.50x = 15,477,101,649
  5. Step 5: Solve for x
    x = 15,477,101,649/82,123.50
  6. Step 6: Final answer
    x = 188,461.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.