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Finding the Third Proportional to 94,730 and 145,983

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Solution

The third proportional to 94,730 and 145,983 is: 224,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,730 : 145,983 = 145,983 : x
  2. Step 2: Convert to fraction form
    94,730/145,983 = 145,983/x
  3. Step 3: Cross multiply
    94,730x = 145,983 × 145,983
  4. Step 4: Simplify right side
    94,730x = 21,311,036,289
  5. Step 5: Solve for x
    x = 21,311,036,289/94,730
  6. Step 6: Final answer
    x = 224,966.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.