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Finding the Third Proportional to 66,582.50 and 143,047

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Solution

The third proportional to 66,582.50 and 143,047 is: 307,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582.50 : 143,047 = 143,047 : x
  2. Step 2: Convert to fraction form
    66,582.50/143,047 = 143,047/x
  3. Step 3: Cross multiply
    66,582.50x = 143,047 × 143,047
  4. Step 4: Simplify right side
    66,582.50x = 20,462,444,209
  5. Step 5: Solve for x
    x = 20,462,444,209/66,582.50
  6. Step 6: Final answer
    x = 307,324.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.