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Finding the Third Proportional to 71,762.06 and 102,722.06

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Solution

The third proportional to 71,762.06 and 102,722.06 is: 147,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.06 : 102,722.06 = 102,722.06 : x
  2. Step 2: Convert to fraction form
    71,762.06/102,722.06 = 102,722.06/x
  3. Step 3: Cross multiply
    71,762.06x = 102,722.06 × 102,722.06
  4. Step 4: Simplify right side
    71,762.06x = 10,551,822,124.25
  5. Step 5: Solve for x
    x = 10,551,822,124.25/71,762.06
  6. Step 6: Final answer
    x = 147,039.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.