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Finding the Third Proportional to 61,007.50 and 142,528.50

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Solution

The third proportional to 61,007.50 and 142,528.50 is: 332,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,007.50 : 142,528.50 = 142,528.50 : x
  2. Step 2: Convert to fraction form
    61,007.50/142,528.50 = 142,528.50/x
  3. Step 3: Cross multiply
    61,007.50x = 142,528.50 × 142,528.50
  4. Step 4: Simplify right side
    61,007.50x = 20,314,373,312.25
  5. Step 5: Solve for x
    x = 20,314,373,312.25/61,007.50
  6. Step 6: Final answer
    x = 332,981.57

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