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Finding the Third Proportional to 53,518.13 and 83,341.13

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Solution

The third proportional to 53,518.13 and 83,341.13 is: 129,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,518.13 : 83,341.13 = 83,341.13 : x
  2. Step 2: Convert to fraction form
    53,518.13/83,341.13 = 83,341.13/x
  3. Step 3: Cross multiply
    53,518.13x = 83,341.13 × 83,341.13
  4. Step 4: Simplify right side
    53,518.13x = 6,945,743,116.27
  5. Step 5: Solve for x
    x = 6,945,743,116.27/53,518.13
  6. Step 6: Final answer
    x = 129,783.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.