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Finding the Third Proportional to 99,130 and 141,306

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Solution

The third proportional to 99,130 and 141,306 is: 201,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,130 : 141,306 = 141,306 : x
  2. Step 2: Convert to fraction form
    99,130/141,306 = 141,306/x
  3. Step 3: Cross multiply
    99,130x = 141,306 × 141,306
  4. Step 4: Simplify right side
    99,130x = 19,967,385,636
  5. Step 5: Solve for x
    x = 19,967,385,636/99,130
  6. Step 6: Final answer
    x = 201,426.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.