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Finding the Third Proportional to 88,038.56 and 127,175.91

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Solution

The third proportional to 88,038.56 and 127,175.91 is: 183,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,038.56 : 127,175.91 = 127,175.91 : x
  2. Step 2: Convert to fraction form
    88,038.56/127,175.91 = 127,175.91/x
  3. Step 3: Cross multiply
    88,038.56x = 127,175.91 × 127,175.91
  4. Step 4: Simplify right side
    88,038.56x = 16,173,711,130.51
  5. Step 5: Solve for x
    x = 16,173,711,130.51/88,038.56
  6. Step 6: Final answer
    x = 183,711.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.