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Finding the Third Proportional to 130,113 and 194,076

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Solution

The third proportional to 130,113 and 194,076 is: 289,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,113 : 194,076 = 194,076 : x
  2. Step 2: Convert to fraction form
    130,113/194,076 = 194,076/x
  3. Step 3: Cross multiply
    130,113x = 194,076 × 194,076
  4. Step 4: Simplify right side
    130,113x = 37,665,493,776
  5. Step 5: Solve for x
    x = 37,665,493,776/130,113
  6. Step 6: Final answer
    x = 289,482.94

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