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Finding the Third Proportional to 145,098 and 163,090.13

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Solution

The third proportional to 145,098 and 163,090.13 is: 183,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098 : 163,090.13 = 163,090.13 : x
  2. Step 2: Convert to fraction form
    145,098/163,090.13 = 163,090.13/x
  3. Step 3: Cross multiply
    145,098x = 163,090.13 × 163,090.13
  4. Step 4: Simplify right side
    145,098x = 26,598,388,872.52
  5. Step 5: Solve for x
    x = 26,598,388,872.52/145,098
  6. Step 6: Final answer
    x = 183,313.27

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.