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Finding the Third Proportional to 64,490.63 and 133,538.63

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Solution

The third proportional to 64,490.63 and 133,538.63 is: 276,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,490.63 : 133,538.63 = 133,538.63 : x
  2. Step 2: Convert to fraction form
    64,490.63/133,538.63 = 133,538.63/x
  3. Step 3: Cross multiply
    64,490.63x = 133,538.63 × 133,538.63
  4. Step 4: Simplify right side
    64,490.63x = 17,832,564,366.89
  5. Step 5: Solve for x
    x = 17,832,564,366.89/64,490.63
  6. Step 6: Final answer
    x = 276,514.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.