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Finding the Third Proportional to 94,496.63 and 146,210.06

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Solution

The third proportional to 94,496.63 and 146,210.06 is: 226,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,496.63 : 146,210.06 = 146,210.06 : x
  2. Step 2: Convert to fraction form
    94,496.63/146,210.06 = 146,210.06/x
  3. Step 3: Cross multiply
    94,496.63x = 146,210.06 × 146,210.06
  4. Step 4: Simplify right side
    94,496.63x = 21,377,382,376.25
  5. Step 5: Solve for x
    x = 21,377,382,376.25/94,496.63
  6. Step 6: Final answer
    x = 226,223.77

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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.