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Finding the Third Proportional to 72,096.75 and 107,547.75

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Solution

The third proportional to 72,096.75 and 107,547.75 is: 160,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,096.75 : 107,547.75 = 107,547.75 : x
  2. Step 2: Convert to fraction form
    72,096.75/107,547.75 = 107,547.75/x
  3. Step 3: Cross multiply
    72,096.75x = 107,547.75 × 107,547.75
  4. Step 4: Simplify right side
    72,096.75x = 11,566,518,530.06
  5. Step 5: Solve for x
    x = 11,566,518,530.06/72,096.75
  6. Step 6: Final answer
    x = 160,430.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.