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Finding the Third Proportional to 88,673 and 130,417

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Solution

The third proportional to 88,673 and 130,417 is: 191,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,673 : 130,417 = 130,417 : x
  2. Step 2: Convert to fraction form
    88,673/130,417 = 130,417/x
  3. Step 3: Cross multiply
    88,673x = 130,417 × 130,417
  4. Step 4: Simplify right side
    88,673x = 17,008,593,889
  5. Step 5: Solve for x
    x = 17,008,593,889/88,673
  6. Step 6: Final answer
    x = 191,812.55

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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.