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Finding the Third Proportional to 53,176.50 and 82,328.91

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Solution

The third proportional to 53,176.50 and 82,328.91 is: 127,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,176.50 : 82,328.91 = 82,328.91 : x
  2. Step 2: Convert to fraction form
    53,176.50/82,328.91 = 82,328.91/x
  3. Step 3: Cross multiply
    53,176.50x = 82,328.91 × 82,328.91
  4. Step 4: Simplify right side
    53,176.50x = 6,778,048,804.32
  5. Step 5: Solve for x
    x = 6,778,048,804.32/53,176.50
  6. Step 6: Final answer
    x = 127,463.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.