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Finding the Third Proportional to 53,664 and 84,955.13

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Solution

The third proportional to 53,664 and 84,955.13 is: 134,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,664 : 84,955.13 = 84,955.13 : x
  2. Step 2: Convert to fraction form
    53,664/84,955.13 = 84,955.13/x
  3. Step 3: Cross multiply
    53,664x = 84,955.13 × 84,955.13
  4. Step 4: Simplify right side
    53,664x = 7,217,373,263.77
  5. Step 5: Solve for x
    x = 7,217,373,263.77/53,664
  6. Step 6: Final answer
    x = 134,491.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.