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Finding the Third Proportional to 113,024 and 153,502

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Solution

The third proportional to 113,024 and 153,502 is: 208,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,024 : 153,502 = 153,502 : x
  2. Step 2: Convert to fraction form
    113,024/153,502 = 153,502/x
  3. Step 3: Cross multiply
    113,024x = 153,502 × 153,502
  4. Step 4: Simplify right side
    113,024x = 23,562,864,004
  5. Step 5: Solve for x
    x = 23,562,864,004/113,024
  6. Step 6: Final answer
    x = 208,476.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.