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Finding the Third Proportional to 59,458.50 and 128,637

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Solution

The third proportional to 59,458.50 and 128,637 is: 278,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,458.50 : 128,637 = 128,637 : x
  2. Step 2: Convert to fraction form
    59,458.50/128,637 = 128,637/x
  3. Step 3: Cross multiply
    59,458.50x = 128,637 × 128,637
  4. Step 4: Simplify right side
    59,458.50x = 16,547,477,769
  5. Step 5: Solve for x
    x = 16,547,477,769/59,458.50
  6. Step 6: Final answer
    x = 278,302.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.