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Finding the Third Proportional to 62,465.50 and 95,955

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Solution

The third proportional to 62,465.50 and 95,955 is: 147,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,465.50 : 95,955 = 95,955 : x
  2. Step 2: Convert to fraction form
    62,465.50/95,955 = 95,955/x
  3. Step 3: Cross multiply
    62,465.50x = 95,955 × 95,955
  4. Step 4: Simplify right side
    62,465.50x = 9,207,362,025
  5. Step 5: Solve for x
    x = 9,207,362,025/62,465.50
  6. Step 6: Final answer
    x = 147,399.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.