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Finding the Third Proportional to 102,712 and 154,798

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Solution

The third proportional to 102,712 and 154,798 is: 233,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,712 : 154,798 = 154,798 : x
  2. Step 2: Convert to fraction form
    102,712/154,798 = 154,798/x
  3. Step 3: Cross multiply
    102,712x = 154,798 × 154,798
  4. Step 4: Simplify right side
    102,712x = 23,962,420,804
  5. Step 5: Solve for x
    x = 23,962,420,804/102,712
  6. Step 6: Final answer
    x = 233,297.19

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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.