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Finding the Third Proportional to 108,025 and 158,389

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Solution

The third proportional to 108,025 and 158,389 is: 232,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,025 : 158,389 = 158,389 : x
  2. Step 2: Convert to fraction form
    108,025/158,389 = 158,389/x
  3. Step 3: Cross multiply
    108,025x = 158,389 × 158,389
  4. Step 4: Simplify right side
    108,025x = 25,087,075,321
  5. Step 5: Solve for x
    x = 25,087,075,321/108,025
  6. Step 6: Final answer
    x = 232,233.98

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Why These Related Problems?

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