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Finding the Third Proportional to 58,362 and 128,070

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Solution

The third proportional to 58,362 and 128,070 is: 281,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,362 : 128,070 = 128,070 : x
  2. Step 2: Convert to fraction form
    58,362/128,070 = 128,070/x
  3. Step 3: Cross multiply
    58,362x = 128,070 × 128,070
  4. Step 4: Simplify right side
    58,362x = 16,401,924,900
  5. Step 5: Solve for x
    x = 16,401,924,900/58,362
  6. Step 6: Final answer
    x = 281,037.75

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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.