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Finding the Third Proportional to 70,688 and 103,656

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Solution

The third proportional to 70,688 and 103,656 is: 151,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688 : 103,656 = 103,656 : x
  2. Step 2: Convert to fraction form
    70,688/103,656 = 103,656/x
  3. Step 3: Cross multiply
    70,688x = 103,656 × 103,656
  4. Step 4: Simplify right side
    70,688x = 10,744,566,336
  5. Step 5: Solve for x
    x = 10,744,566,336/70,688
  6. Step 6: Final answer
    x = 151,999.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.