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Finding the Third Proportional to 102,465 and 210,033

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Solution

The third proportional to 102,465 and 210,033 is: 430,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465 : 210,033 = 210,033 : x
  2. Step 2: Convert to fraction form
    102,465/210,033 = 210,033/x
  3. Step 3: Cross multiply
    102,465x = 210,033 × 210,033
  4. Step 4: Simplify right side
    102,465x = 44,113,861,089
  5. Step 5: Solve for x
    x = 44,113,861,089/102,465
  6. Step 6: Final answer
    x = 430,526.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.