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Finding the Third Proportional to 103,477.50 and 158,633.63

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Solution

The third proportional to 103,477.50 and 158,633.63 is: 243,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477.50 : 158,633.63 = 158,633.63 : x
  2. Step 2: Convert to fraction form
    103,477.50/158,633.63 = 158,633.63/x
  3. Step 3: Cross multiply
    103,477.50x = 158,633.63 × 158,633.63
  4. Step 4: Simplify right side
    103,477.50x = 25,164,626,980.64
  5. Step 5: Solve for x
    x = 25,164,626,980.64/103,477.50
  6. Step 6: Final answer
    x = 243,189.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.