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Finding the Third Proportional to 74,782.30 and 164,094.77

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Solution

The third proportional to 74,782.30 and 164,094.77 is: 360,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,782.30 : 164,094.77 = 164,094.77 : x
  2. Step 2: Convert to fraction form
    74,782.30/164,094.77 = 164,094.77/x
  3. Step 3: Cross multiply
    74,782.30x = 164,094.77 × 164,094.77
  4. Step 4: Simplify right side
    74,782.30x = 26,927,092,746.52
  5. Step 5: Solve for x
    x = 26,927,092,746.52/74,782.30
  6. Step 6: Final answer
    x = 360,073.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.