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Finding the Third Proportional to 71,537.63 and 105,112.13

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Solution

The third proportional to 71,537.63 and 105,112.13 is: 154,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.63 : 105,112.13 = 105,112.13 : x
  2. Step 2: Convert to fraction form
    71,537.63/105,112.13 = 105,112.13/x
  3. Step 3: Cross multiply
    71,537.63x = 105,112.13 × 105,112.13
  4. Step 4: Simplify right side
    71,537.63x = 11,048,558,822.02
  5. Step 5: Solve for x
    x = 11,048,558,822.02/71,537.63
  6. Step 6: Final answer
    x = 154,444.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.