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Finding the Third Proportional to 142,368 and 190,128

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Solution

The third proportional to 142,368 and 190,128 is: 253,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,368 : 190,128 = 190,128 : x
  2. Step 2: Convert to fraction form
    142,368/190,128 = 190,128/x
  3. Step 3: Cross multiply
    142,368x = 190,128 × 190,128
  4. Step 4: Simplify right side
    142,368x = 36,148,656,384
  5. Step 5: Solve for x
    x = 36,148,656,384/142,368
  6. Step 6: Final answer
    x = 253,909.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.