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Finding the Third Proportional to 42,322.50 and 93,352.50

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Solution

The third proportional to 42,322.50 and 93,352.50 is: 205,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.50 : 93,352.50 = 93,352.50 : x
  2. Step 2: Convert to fraction form
    42,322.50/93,352.50 = 93,352.50/x
  3. Step 3: Cross multiply
    42,322.50x = 93,352.50 × 93,352.50
  4. Step 4: Simplify right side
    42,322.50x = 8,714,689,256.25
  5. Step 5: Solve for x
    x = 8,714,689,256.25/42,322.50
  6. Step 6: Final answer
    x = 205,911.50

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.