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Finding the Third Proportional to 130,094 and 190,169

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Solution

The third proportional to 130,094 and 190,169 is: 277,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,094 : 190,169 = 190,169 : x
  2. Step 2: Convert to fraction form
    130,094/190,169 = 190,169/x
  3. Step 3: Cross multiply
    130,094x = 190,169 × 190,169
  4. Step 4: Simplify right side
    130,094x = 36,164,248,561
  5. Step 5: Solve for x
    x = 36,164,248,561/130,094
  6. Step 6: Final answer
    x = 277,985.52

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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.