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Finding the Third Proportional to 53,256.87 and 83,088.91

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Solution

The third proportional to 53,256.87 and 83,088.91 is: 129,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,256.87 : 83,088.91 = 83,088.91 : x
  2. Step 2: Convert to fraction form
    53,256.87/83,088.91 = 83,088.91/x
  3. Step 3: Cross multiply
    53,256.87x = 83,088.91 × 83,088.91
  4. Step 4: Simplify right side
    53,256.87x = 6,903,767,640.09
  5. Step 5: Solve for x
    x = 6,903,767,640.09/53,256.87
  6. Step 6: Final answer
    x = 129,631.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.