Finding the Third Proportional to 97,074 and 145,467
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Solution
The third proportional to 97,074 and 145,467 is: 217,984.71
Step by Step Solution
- Step 1: Write the proportion equation
97,074 : 145,467 = 145,467 : x - Step 2: Convert to fraction form
97,074/145,467 = 145,467/x - Step 3: Cross multiply
97,074x = 145,467 × 145,467 - Step 4: Simplify right side
97,074x = 21,160,648,089 - Step 5: Solve for x
x = 21,160,648,089/97,074 - Step 6: Final answer
x = 217,984.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.