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Finding the Third Proportional to 58,627.50 and 128,283

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Solution

The third proportional to 58,627.50 and 128,283 is: 280,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,627.50 : 128,283 = 128,283 : x
  2. Step 2: Convert to fraction form
    58,627.50/128,283 = 128,283/x
  3. Step 3: Cross multiply
    58,627.50x = 128,283 × 128,283
  4. Step 4: Simplify right side
    58,627.50x = 16,456,528,089
  5. Step 5: Solve for x
    x = 16,456,528,089/58,627.50
  6. Step 6: Final answer
    x = 280,696.40

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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.