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Finding the Third Proportional to 67,368.75 and 105,681.75

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Solution

The third proportional to 67,368.75 and 105,681.75 is: 165,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,368.75 : 105,681.75 = 105,681.75 : x
  2. Step 2: Convert to fraction form
    67,368.75/105,681.75 = 105,681.75/x
  3. Step 3: Cross multiply
    67,368.75x = 105,681.75 × 105,681.75
  4. Step 4: Simplify right side
    67,368.75x = 11,168,632,283.06
  5. Step 5: Solve for x
    x = 11,168,632,283.06/67,368.75
  6. Step 6: Final answer
    x = 165,783.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.