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Finding the Third Proportional to 42,775.50 and 67,192.50

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Solution

The third proportional to 42,775.50 and 67,192.50 is: 105,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775.50 : 67,192.50 = 67,192.50 : x
  2. Step 2: Convert to fraction form
    42,775.50/67,192.50 = 67,192.50/x
  3. Step 3: Cross multiply
    42,775.50x = 67,192.50 × 67,192.50
  4. Step 4: Simplify right side
    42,775.50x = 4,514,832,056.25
  5. Step 5: Solve for x
    x = 4,514,832,056.25/42,775.50
  6. Step 6: Final answer
    x = 105,547.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.