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Finding the Third Proportional to 76,402 and 164,090

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Solution

The third proportional to 76,402 and 164,090 is: 352,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,402 : 164,090 = 164,090 : x
  2. Step 2: Convert to fraction form
    76,402/164,090 = 164,090/x
  3. Step 3: Cross multiply
    76,402x = 164,090 × 164,090
  4. Step 4: Simplify right side
    76,402x = 26,925,528,100
  5. Step 5: Solve for x
    x = 26,925,528,100/76,402
  6. Step 6: Final answer
    x = 352,419.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.