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Finding the Third Proportional to 97,145 and 154,470

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Solution

The third proportional to 97,145 and 154,470 is: 245,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,145 : 154,470 = 154,470 : x
  2. Step 2: Convert to fraction form
    97,145/154,470 = 154,470/x
  3. Step 3: Cross multiply
    97,145x = 154,470 × 154,470
  4. Step 4: Simplify right side
    97,145x = 23,860,980,900
  5. Step 5: Solve for x
    x = 23,860,980,900/97,145
  6. Step 6: Final answer
    x = 245,622.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.