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Finding the Third Proportional to 63,813 and 149,038.50

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Solution

The third proportional to 63,813 and 149,038.50 is: 348,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,813 : 149,038.50 = 149,038.50 : x
  2. Step 2: Convert to fraction form
    63,813/149,038.50 = 149,038.50/x
  3. Step 3: Cross multiply
    63,813x = 149,038.50 × 149,038.50
  4. Step 4: Simplify right side
    63,813x = 22,212,474,482.25
  5. Step 5: Solve for x
    x = 22,212,474,482.25/63,813
  6. Step 6: Final answer
    x = 348,086.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.