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Finding the Third Proportional to 68,547 and 103,684.50

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Solution

The third proportional to 68,547 and 103,684.50 is: 156,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,547 : 103,684.50 = 103,684.50 : x
  2. Step 2: Convert to fraction form
    68,547/103,684.50 = 103,684.50/x
  3. Step 3: Cross multiply
    68,547x = 103,684.50 × 103,684.50
  4. Step 4: Simplify right side
    68,547x = 10,750,475,540.25
  5. Step 5: Solve for x
    x = 10,750,475,540.25/68,547
  6. Step 6: Final answer
    x = 156,833.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.