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Finding the Third Proportional to 56,495 and 83,014

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Solution

The third proportional to 56,495 and 83,014 is: 121,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,495 : 83,014 = 83,014 : x
  2. Step 2: Convert to fraction form
    56,495/83,014 = 83,014/x
  3. Step 3: Cross multiply
    56,495x = 83,014 × 83,014
  4. Step 4: Simplify right side
    56,495x = 6,891,324,196
  5. Step 5: Solve for x
    x = 6,891,324,196/56,495
  6. Step 6: Final answer
    x = 121,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.