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Finding the Third Proportional to 97,047 and 130,410

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Solution

The third proportional to 97,047 and 130,410 is: 175,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,047 : 130,410 = 130,410 : x
  2. Step 2: Convert to fraction form
    97,047/130,410 = 130,410/x
  3. Step 3: Cross multiply
    97,047x = 130,410 × 130,410
  4. Step 4: Simplify right side
    97,047x = 17,006,768,100
  5. Step 5: Solve for x
    x = 17,006,768,100/97,047
  6. Step 6: Final answer
    x = 175,242.59

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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.