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Finding the Third Proportional to 45,601 and 97,509.75

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Solution

The third proportional to 45,601 and 97,509.75 is: 208,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,601 : 97,509.75 = 97,509.75 : x
  2. Step 2: Convert to fraction form
    45,601/97,509.75 = 97,509.75/x
  3. Step 3: Cross multiply
    45,601x = 97,509.75 × 97,509.75
  4. Step 4: Simplify right side
    45,601x = 9,508,151,345.06
  5. Step 5: Solve for x
    x = 9,508,151,345.06/45,601
  6. Step 6: Final answer
    x = 208,507.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.