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Finding the Third Proportional to 109,607 and 148,533

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Solution

The third proportional to 109,607 and 148,533 is: 201,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,607 : 148,533 = 148,533 : x
  2. Step 2: Convert to fraction form
    109,607/148,533 = 148,533/x
  3. Step 3: Cross multiply
    109,607x = 148,533 × 148,533
  4. Step 4: Simplify right side
    109,607x = 22,062,052,089
  5. Step 5: Solve for x
    x = 22,062,052,089/109,607
  6. Step 6: Final answer
    x = 201,283.24

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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.