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Finding the Third Proportional to 71,457.19 and 152,414.16

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Solution

The third proportional to 71,457.19 and 152,414.16 is: 325,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,457.19 : 152,414.16 = 152,414.16 : x
  2. Step 2: Convert to fraction form
    71,457.19/152,414.16 = 152,414.16/x
  3. Step 3: Cross multiply
    71,457.19x = 152,414.16 × 152,414.16
  4. Step 4: Simplify right side
    71,457.19x = 23,230,075,025.40
  5. Step 5: Solve for x
    x = 23,230,075,025.40/71,457.19
  6. Step 6: Final answer
    x = 325,090.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.