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Finding the Third Proportional to 64,155 and 154,362

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Solution

The third proportional to 64,155 and 154,362 is: 371,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,155 : 154,362 = 154,362 : x
  2. Step 2: Convert to fraction form
    64,155/154,362 = 154,362/x
  3. Step 3: Cross multiply
    64,155x = 154,362 × 154,362
  4. Step 4: Simplify right side
    64,155x = 23,827,627,044
  5. Step 5: Solve for x
    x = 23,827,627,044/64,155
  6. Step 6: Final answer
    x = 371,407.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.