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Finding the Third Proportional to 53,640 and 80,176.50

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Solution

The third proportional to 53,640 and 80,176.50 is: 119,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,640 : 80,176.50 = 80,176.50 : x
  2. Step 2: Convert to fraction form
    53,640/80,176.50 = 80,176.50/x
  3. Step 3: Cross multiply
    53,640x = 80,176.50 × 80,176.50
  4. Step 4: Simplify right side
    53,640x = 6,428,271,152.25
  5. Step 5: Solve for x
    x = 6,428,271,152.25/53,640
  6. Step 6: Final answer
    x = 119,841.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.