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Finding the Third Proportional to 53,095.50 and 74,425.50

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Solution

The third proportional to 53,095.50 and 74,425.50 is: 104,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.50 : 74,425.50 = 74,425.50 : x
  2. Step 2: Convert to fraction form
    53,095.50/74,425.50 = 74,425.50/x
  3. Step 3: Cross multiply
    53,095.50x = 74,425.50 × 74,425.50
  4. Step 4: Simplify right side
    53,095.50x = 5,539,155,050.25
  5. Step 5: Solve for x
    x = 5,539,155,050.25/53,095.50
  6. Step 6: Final answer
    x = 104,324.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.