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Finding the Third Proportional to 99,368 and 145,884

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Solution

The third proportional to 99,368 and 145,884 is: 214,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,368 : 145,884 = 145,884 : x
  2. Step 2: Convert to fraction form
    99,368/145,884 = 145,884/x
  3. Step 3: Cross multiply
    99,368x = 145,884 × 145,884
  4. Step 4: Simplify right side
    99,368x = 21,282,141,456
  5. Step 5: Solve for x
    x = 21,282,141,456/99,368
  6. Step 6: Final answer
    x = 214,175.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.