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Finding the Third Proportional to 139,089 and 209,281.50

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Solution

The third proportional to 139,089 and 209,281.50 is: 314,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,089 : 209,281.50 = 209,281.50 : x
  2. Step 2: Convert to fraction form
    139,089/209,281.50 = 209,281.50/x
  3. Step 3: Cross multiply
    139,089x = 209,281.50 × 209,281.50
  4. Step 4: Simplify right side
    139,089x = 43,798,746,242.25
  5. Step 5: Solve for x
    x = 43,798,746,242.25/139,089
  6. Step 6: Final answer
    x = 314,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.