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Finding the Third Proportional to 94,043 and 145,783

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Solution

The third proportional to 94,043 and 145,783 is: 225,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,043 : 145,783 = 145,783 : x
  2. Step 2: Convert to fraction form
    94,043/145,783 = 145,783/x
  3. Step 3: Cross multiply
    94,043x = 145,783 × 145,783
  4. Step 4: Simplify right side
    94,043x = 21,252,683,089
  5. Step 5: Solve for x
    x = 21,252,683,089/94,043
  6. Step 6: Final answer
    x = 225,989.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.