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Finding the Third Proportional to 116,128.69 and 163,530.14

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Solution

The third proportional to 116,128.69 and 163,530.14 is: 230,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,128.69 : 163,530.14 = 163,530.14 : x
  2. Step 2: Convert to fraction form
    116,128.69/163,530.14 = 163,530.14/x
  3. Step 3: Cross multiply
    116,128.69x = 163,530.14 × 163,530.14
  4. Step 4: Simplify right side
    116,128.69x = 26,742,106,892.83
  5. Step 5: Solve for x
    x = 26,742,106,892.83/116,128.69
  6. Step 6: Final answer
    x = 230,279.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.