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Finding the Third Proportional to 130,088 and 190,160

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Solution

The third proportional to 130,088 and 190,160 is: 277,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,088 : 190,160 = 190,160 : x
  2. Step 2: Convert to fraction form
    130,088/190,160 = 190,160/x
  3. Step 3: Cross multiply
    130,088x = 190,160 × 190,160
  4. Step 4: Simplify right side
    130,088x = 36,160,825,600
  5. Step 5: Solve for x
    x = 36,160,825,600/130,088
  6. Step 6: Final answer
    x = 277,972.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.