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Finding the Third Proportional to 76,584 and 114,417

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Solution

The third proportional to 76,584 and 114,417 is: 170,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,584 : 114,417 = 114,417 : x
  2. Step 2: Convert to fraction form
    76,584/114,417 = 114,417/x
  3. Step 3: Cross multiply
    76,584x = 114,417 × 114,417
  4. Step 4: Simplify right side
    76,584x = 13,091,249,889
  5. Step 5: Solve for x
    x = 13,091,249,889/76,584
  6. Step 6: Final answer
    x = 170,939.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.