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Finding the Third Proportional to 63,423 and 143,005.50

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Solution

The third proportional to 63,423 and 143,005.50 is: 322,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,423 : 143,005.50 = 143,005.50 : x
  2. Step 2: Convert to fraction form
    63,423/143,005.50 = 143,005.50/x
  3. Step 3: Cross multiply
    63,423x = 143,005.50 × 143,005.50
  4. Step 4: Simplify right side
    63,423x = 20,450,573,030.25
  5. Step 5: Solve for x
    x = 20,450,573,030.25/63,423
  6. Step 6: Final answer
    x = 322,447.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.