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Finding the Third Proportional to 88.04 and 117.58

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Solution

The third proportional to 88.04 and 117.58 is: 157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.04 : 117.58 = 117.58 : x
  2. Step 2: Convert to fraction form
    88.04/117.58 = 117.58/x
  3. Step 3: Cross multiply
    88.04x = 117.58 × 117.58
  4. Step 4: Simplify right side
    88.04x = 13,826.11
  5. Step 5: Solve for x
    x = 13,826.11/88.04
  6. Step 6: Final answer
    x = 157.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.