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Finding the Third Proportional to 92,772 and 144,007.50

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Solution

The third proportional to 92,772 and 144,007.50 is: 223,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,772 : 144,007.50 = 144,007.50 : x
  2. Step 2: Convert to fraction form
    92,772/144,007.50 = 144,007.50/x
  3. Step 3: Cross multiply
    92,772x = 144,007.50 × 144,007.50
  4. Step 4: Simplify right side
    92,772x = 20,738,160,056.25
  5. Step 5: Solve for x
    x = 20,738,160,056.25/92,772
  6. Step 6: Final answer
    x = 223,539.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.